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Finding the Fourth Proportional to 615.52, 849.04 and 419.12

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Solution

The fourth proportional to 615.52, 849.04 and 419.12 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.52 : 849.04 = 419.12 : x
  2. Step 2: Convert to fraction form
    615.52/849.04 = 419.12/x
  3. Step 3: Cross multiply
    615.52x = 849.04 × 419.12
  4. Step 4: Simplify right side
    615.52x = 355,849.64
  5. Step 5: Solve for x
    x = 355,849.64/615.52
  6. Step 6: Final answer
    x = 578.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.